TSTP Solution File: SET079-6 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET079-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 04:35:22 EDT 2022
% Result : Unsatisfiable 2.94s 3.13s
% Output : Refutation 2.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_to_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
input ).
cnf(complement1,axiom,
( ~ member(X61,complement(X60))
| ~ member(X61,X60) ),
input ).
cnf(subclass_members,axiom,
( ~ subclass(X4,X6)
| ~ member(X5,X4)
| member(X5,X6) ),
input ).
cnf(equal_implies_subclass1,axiom,
( X9 != X10
| subclass(X9,X10) ),
input ).
cnf(singleton_set,axiom,
unordered_pair(X45,X45) = singleton(X45),
input ).
cnf(prove_corollary_to_set_in_its_singleton_2,negated_conjecture,
singleton(x) = null_class,
input ).
cnf(transitivity,axiom,
( X197 != X199
| X199 != X198
| X197 = X198 ),
eq_axiom ).
cnf(c547,plain,
( X320 != singleton(x)
| X320 = null_class ),
inference(resolution,status(thm),[transitivity,prove_corollary_to_set_in_its_singleton_2]) ).
cnf(c1576,plain,
unordered_pair(x,x) = null_class,
inference(resolution,status(thm),[c547,singleton_set]) ).
cnf(c1621,plain,
subclass(unordered_pair(x,x),null_class),
inference(resolution,status(thm),[c1576,equal_implies_subclass1]) ).
cnf(unordered_pair2,axiom,
( ~ member(X43,universal_class)
| member(X43,unordered_pair(X43,X44)) ),
input ).
cnf(c62,plain,
member(x,unordered_pair(x,X46)),
inference(resolution,status(thm),[unordered_pair2,prove_corollary_to_set_in_its_singleton_1]) ).
cnf(c70,plain,
( ~ subclass(unordered_pair(x,X465),X464)
| member(x,X464) ),
inference(resolution,status(thm),[c62,subclass_members]) ).
cnf(c3907,plain,
member(x,null_class),
inference(resolution,status(thm),[c70,c1621]) ).
cnf(c3916,plain,
( ~ subclass(null_class,X472)
| member(x,X472) ),
inference(resolution,status(thm),[c3907,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X14 != X15
| subclass(X15,X14) ),
input ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
input ).
cnf(regularity1,axiom,
( X126 = null_class
| member(regular(X126),X126) ),
input ).
cnf(c219,plain,
( X819 = null_class
| ~ subclass(X819,X818)
| member(regular(X819),X818) ),
inference(resolution,status(thm),[regularity1,subclass_members]) ).
cnf(c8948,plain,
( X822 = null_class
| member(regular(X822),universal_class) ),
inference(resolution,status(thm),[c219,class_elements_are_sets]) ).
cnf(c221,plain,
( complement(X831) = null_class
| ~ member(regular(complement(X831)),X831) ),
inference(resolution,status(thm),[regularity1,complement1]) ).
cnf(c9265,plain,
complement(universal_class) = null_class,
inference(resolution,status(thm),[c221,c8948]) ).
cnf(c9307,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,status(thm),[c9265,equal_implies_subclass2]) ).
cnf(c9354,plain,
member(x,complement(universal_class)),
inference(resolution,status(thm),[c9307,c3916]) ).
cnf(c9441,plain,
~ member(x,universal_class),
inference(resolution,status(thm),[c9354,complement1]) ).
cnf(c9454,plain,
$false,
inference(resolution,status(thm),[c9441,prove_corollary_to_set_in_its_singleton_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET079-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 20:31:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.94/3.13 # Version: 1.3
% 2.94/3.13 # SZS status Unsatisfiable
% 2.94/3.13 # SZS output start CNFRefutation
% See solution above
% 2.94/3.13
% 2.94/3.13 # Initial clauses : 135
% 2.94/3.13 # Processed clauses : 575
% 2.94/3.13 # Factors computed : 2
% 2.94/3.13 # Resolvents computed: 9414
% 2.94/3.13 # Tautologies deleted: 9
% 2.94/3.13 # Forward subsumed : 326
% 2.94/3.13 # Backward subsumed : 1
% 2.94/3.13 # -------- CPU Time ---------
% 2.94/3.13 # User time : 2.760 s
% 2.94/3.13 # System time : 0.033 s
% 2.94/3.13 # Total time : 2.793 s
%------------------------------------------------------------------------------